<h2>Problem 195</h2>
<div style="color:#666;font-size:80%;">23 May 2008</div><br />
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<p>Let's call an integer sided triangle with exactly one angle of 60 degrees a 60-degree triangle.<br />
Let <var>r</var> be the radius of the inscribed circle of such a 60-degree triangle.</p>
<p>There are 1234 60-degree triangles for which <var>r</var> <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> 100.
<br />Let T(<var>n</var>) be the number of 60-degree triangles for which <var>r</var> <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> <var>n</var>, so<br />
 T(100) = 1234,&nbsp; T(1000) = 22767, and&nbsp; T(10000) = 359912.</p>

<p>Find T(1053779).</p>

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